Stäckel transform of Lax equations
Abstract
We construct Lax pairs for a wide class of Stäckel systems by applying the multi-parameter Stäckel transform to Lax pairs of a suitably chosen systems from the seed class. For a given Stäckel system, the obtained set of non-equivalent Lax pairs is parametrized by an arbitrary function.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2019
- DOI:
- 10.48550/arXiv.1901.02368
- arXiv:
- arXiv:1901.02368
- Bibcode:
- 2019arXiv190102368B
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematical Physics;
- 70H06;
- 37J35;
- 70H20